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Research Articles

Positive solutions to Kirchhoff-type problem with singular nonlinearity

  • CAO Xiaoqiang ,
  • SUN Yijing
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2012-12-25

  Revised date: 2013-04-08

  Online published: 2014-01-15

Abstract

We consider the following problem:
where a>0,b>0,1<p<+∞, and f is a positive and measurable function defined on Ω. The necessary and sufficient condition for the existence of weak solutions to such a Kirchhoff-type problem is given.

Cite this article

CAO Xiaoqiang , SUN Yijing . Positive solutions to Kirchhoff-type problem with singular nonlinearity[J]. Journal of University of Chinese Academy of Sciences, 2014 , 31(1) : 5 -9 . DOI: 10.7523/j.issn.2095-6134.2014.01.002

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